Finite Group Databasebeta

← D15×#394 #14331518

Subgroups — D15×#394 #14331518

Order 1920.

2504 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D4×D15C211yesmaximal, characteristic
2C2×C4⋊C4×D15C211yesmaximal, characteristic, complemented
3C2×C22⋊C4×D15C212yesmaximal, complemented
4C2×C22⋊C4×D15C212yesmaximal, complemented
5C3×C5×#394C211yesmaximal, characteristic, complemented
6#11751323C211yesmaximal, characteristic, complemented
7#11751092C211yesmaximal, characteristic, complemented
8#11751062C212yesmaximal, complemented
9#11751060C212yesmaximal, complemented
10#11750773C211yesmaximal, characteristic, complemented
11D15×#95C211yesmaximal, characteristic, complemented
12D5×#394—31nomaximal, Hall
13C24×D15C2212yes—
14C22×C3×C5×D4C2211yescharacteristic
15C22×#1220C2212yes—
16C2×D4×D15—28no—
17C2×D4×D15—24no—
18C22×D60C2211yescharacteristic
19C22×C4×D15C2212yes—
20C22×C4×D15C2211yescharacteristic
21C22×C4×D15C2211yescharacteristic
22C22×C4×D15C2211yescharacteristic
23C2×C3×C5×C4⋊C4C2211yescharacteristic, complemented
24C2×C3×C5×C22⋊C4C2212yescomplemented
25C2×C3×C5×C22⋊C4C2212yescomplemented
26C2×#6719C2212yescomplemented
27C2×#6719C2212yescomplemented
28C2×#6714C2212yescomplemented
29C2×#6714C2212yescomplemented
30C2×#6714C2212yescomplemented
31C2×#6714C2212yescomplemented
32C2×C4⋊Dic15C2211yescharacteristic, complemented
33C2×#6712C2211yescharacteristic, complemented
34C2×#6712C2211yescharacteristic, complemented
35C4⋊C4×D15—24no—
36C22⋊C4×D15—28no—
37C22⋊C4×D15—28no—
38C3×C5×#95C2211yescharacteristic, complemented
39#91115C2212yescomplemented
40#91115C2211yescharacteristic, complemented
41D3×#394—51nomaximal, Hall
42C22×D4×D5—31no—
43C2×D5×C4⋊C4—31no—
44C2×D5×C22⋊C4—32no—
45C2×D5×C22⋊C4—32no—
46C5×#394D311yescharacteristic, complemented
47#65511—31no—
48#65280—31no—
49#65250—32no—
50#65248—32no—
51#64961—31no—
52D5×#95—31no—
53C24×C3×C5C2312yes—
54C23×D15—24no—
55C23×D15—24no—
56C23×D15—24no—
57C23×D15—24no—
58C23×D15—24no—
59C23×D15—24no—
60C23×D15D418yes—
61C23×D15C2312yes—
62C23×D15C2311yescharacteristic
63C2×C3×C5×D4—24no—
64C2×C3×C5×D4—22no—
65C22×C3×C4×C5C2311yescharacteristic
66C22×C3×C4×C5C2312yes—
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×C4×C5C2311yescharacteristic
69C2×#1220—24no—
70C2×#1220—24no—
71C2×#1220—24no—
72C22×Dic15C2311yescharacteristic
73C22×Dic15C2312yes—
74C22×Dic15C2311yescharacteristic
75C22×Dic15C2311yescharacteristic
76D4×D15—232no—
77C2×D60—24no—
78C2×D60—22no—
79C2×C4×D15—22no—
80C2×C4×D15—24no—
81C2×C4×D15—22no—
82C2×C4×D15—24no—
83C2×C4×D15—24no—
84C2×C4×D15—24no—
85C2×C4×D15—22no—
86C2×C4×D15—24no—
87C2×C4×D15D414yes—
88C2×C4×D15D414yescomplemented
89C3×C5×C4⋊C4—22no—
90C3×C5×C22⋊C4—24no—
91C3×C5×C22⋊C4—24no—
92#6719—24no—
93#6719—24no—
94#6714—24no—
95#6714—24no—
96#6714—24no—
97#6714—24no—
98C4⋊Dic15—22no—
99#6712—22no—
100#6712—22no—
101C22×D3×D4—51no—
102C2×D3×C4⋊C4—51no—
103C2×D3×C22⋊C4—52no—
104C2×D3×C22⋊C4—52no—
105C3×#394D511yescharacteristic, complemented
106#5222—51no—
107#4991—51no—
108#4961—52no—
109#4959—52no—
110#4672—51no—
111D3×#95—51no—
112C24×D5—32no—
113C22×C5×D4C2×D311yescharacteristic
114C22×C22⋊D5—32no—
115C2×D4×D5—64no—
116C2×D4×D5—68no—
117C22×D20—31no—
118C22×C4×D5—31no—
119C22×C4×D5—31no—
120C22×C4×D5—31no—
121C22×C4×D5—32no—
122C2×C5×C4⋊C4C2×D311yescharacteristic, complemented
123C2×C5×C22⋊C4C2×D312yescomplemented
124C2×C5×C22⋊C4C2×D312yescomplemented
125C2×C22⋊Dic5—32no—
126C2×C22⋊Dic5—32no—
127C2×#685—32no—
128C2×#685—32no—
129C2×#685—32no—
130C2×#685—32no—
131C2×C4⋊Dic5—31no—
132C2×#683—31no—
133C2×#683—31no—
134D5×C4⋊C4—64no—
135D5×C22⋊C4—68no—
136D5×C22⋊C4—68no—
137C5×#95C2×D311yescharacteristic, complemented
138#3963—31no—
139#3963—32no—
140C2×#394—151noSylow
141C23×C3×C5—22no—
142C23×C3×C5—22no—
143C23×C3×C5—22no—
144C23×C3×C5—22no—
145C23×C3×C5—22no—
146C23×C3×C5—22no—
147C23×C3×C5C2×D414yes—
148C23×C3×C5C2411yescharacteristic
149C22×D15—22no—
150C22×D15—22no—
151C22×D15—22no—
152C22×D15—22no—
153C22×D15—22no—
154C22×D15—22no—
155C22×D15—216no—
156C22×D15—216no—
157C22×D15—216no—
158C22×D15—48no—
159C22×D15—48no—
160C22×D15—48no—
161C22×D15—48no—
162C22×D15C2×D414yes—
163C22×D15C2×D414yes—
164C22×D15C2×D412yes—
165C22×D15C2×D412yes—
166C22×D15#4112yes—
167C22×D15#4114yes—
168C3×C5×D4—28no—
169C2×C3×C4×C5—21no—
170C2×C3×C4×C5—22no—
171C2×C3×C4×C5—21no—
172C2×C3×C4×C5—21no—
173C2×C3×C4×C5—22no—
174C2×C3×C4×C5—22no—
175C2×C3×C4×C5—22no—
176C2×C3×C4×C5—22no—
177C2×C3×C4×C5C2×D412yes—
178C2×C3×C4×C5C2×D412yescomplemented
179#1220—216no—
180C2×Dic15—21no—
181C2×Dic15—22no—
182C2×Dic15—21no—
183C2×Dic15—21no—
184C2×Dic15—22no—
185C2×Dic15—22no—
186C2×Dic15—22no—
187C2×Dic15—22no—
188C2×Dic15C2×D412yes—
189C2×Dic15C2×D412yescomplemented
190D60—28no—
191C4×D15—28no—
192C4×D15—28no—
193C4×D15—44no—
194C4×D15—48no—
195C24×D3—52no—
196C22×C3×D4C2×D511yescharacteristic
197C22×#67—52no—
198C2×D3×D4—104no—
199C2×D3×D4—108no—
200C22×D12—51no—
201C22×C4×D3—51no—
202C22×C4×D3—51no—
203C22×C4×D3—52no—
204C22×C4×D3—51no—
205C2×C3×C4⋊C4C2×D511yescharacteristic, complemented
206C2×C3×C22⋊C4C2×D512yescomplemented
207C2×C3×C22⋊C4C2×D512yescomplemented
208C2×#217—52no—
209C2×#217—52no—
210C2×(C2×D3)⋊C4—52no—
211C2×(C2×D3)⋊C4—52no—
212C2×(C2×D3)⋊C4—52no—
213C2×(C2×D3)⋊C4—52no—
214C2×C4⋊Dic3—51no—
215C2×Dic3⋊C4—51no—
216C2×Dic3⋊C4—51no—
217D3×C4⋊C4—104no—
218D3×C22⋊C4—108no—
219D3×C22⋊C4—108no—
220C3×#95C2×D511yescharacteristic, complemented
221C3⋊#95—52no—
222C3⋊#95—51no—
223C24×C5C22×D312yes—
224C23×D5—31no—
225C23×D5—38no—
226C23×D5—32no—
227C23×D5—64no—
228C23×D5—64no—
229C23×D5—64no—
230C23×D5—64no—
231C23×D5—64no—
232C23×D5—64no—
233C2×C5×D4—24no—
234C2×C5×D4—22no—
235C22×C4×C5C22×D311yescharacteristic
236C22×C4×C5C22×D312yes—
237C22×C4×C5C22×D311yescharacteristic
238C22×C4×C5C22×D311yescharacteristic
239C2×C22⋊D5—64no—
240C2×C22⋊D5—64no—
241C2×C22⋊D5—64no—
242C22×Dic5—31no—
243C22×Dic5—31no—
244C22×Dic5—32no—
245C22×Dic5—31no—
246D4×D5—632no—
247C2×D20—64no—
248C2×D20—62no—
249C2×C4×D5—34no—
250C2×C4×D5—34no—
251C2×C4×D5—64no—
252C2×C4×D5—62no—
253C2×C4×D5—62no—
254C2×C4×D5—64no—
255C2×C4×D5—64no—
256C2×C4×D5—64no—
257C2×C4×D5—64no—
258C2×C4×D5—62no—
259C5×C4⋊C4—22no—
260C5×C22⋊C4—24no—
261C5×C22⋊C4—24no—
262C22⋊Dic5—64no—
263C22⋊Dic5—64no—
264#685—64no—
265#685—64no—
266#685—64no—
267#685—64no—
268C4⋊Dic5—62no—
269#683—62no—
270#683—62no—
271C23×D4—151no—
272C22×C4⋊C4—151no—
273C22×C22⋊C4—152no—
274C22×C22⋊C4—152no—
275#394—151no—
276#394—151no—
277#394—152no—
278#394—152no—
279#394—151no—
280#394D1511yescharacteristic, direct product factor
281C2×#95—151no—
282C22×C3×C5—24no—
283C22×C3×C5—24no—
284C22×C3×C5—24no—
285C22×C3×C5—42no—
286C22×C3×C5—42no—
287C22×C3×C5—42no—
288C22×C3×C5—42no—
289C22×C3×C5C22×D412yes—
290C22×C3×C5C22×D411yescharacteristic
291C22×C3×C5C22×D411yescharacteristic
292C22×C3×C5C2×#4111yescharacteristic
293C22×C3×C5C2×#4112yes—
294C2×D15—24no—
295C2×D15—24no—
296C2×D15—24no—
297C2×D15—42no—
298C2×D15—42no—
299C2×D15—42no—
300C2×D15—42no—
301C2×D15—432no—
302C2×D15#12014yes—
303C2×D15#12114yes—
304C2×D15#12118yes—
305C2×D15#12318yes—
306C2×D15#12414yes—
307C3×C4×C5—22no—
308C3×C4×C5—22no—
309C3×C4×C5—41no—
310C3×C4×C5—42no—
311Dic15—22no—
312Dic15—22no—
313Dic15—41no—
314Dic15—42no—
315C24×C3C22×D512yes—
316C23×D3—51no—
317C23×D3—58no—
318C23×D3—52no—
319C23×D3—104no—
320C23×D3—104no—
321C23×D3—104no—
322C23×D3—104no—
323C23×D3—104no—
324C23×D3—104no—
325C2×C3×D4—24no—
326C2×C3×D4—22no—
327C22×C3×C4C22×D512yes—
328C22×C3×C4C22×D511yescharacteristic
329C22×C3×C4C22×D511yescharacteristic
330C22×C3×C4C22×D511yescharacteristic
331C2×#67—104no—
332C2×#67—104no—
333C2×#67—104no—
334C22×Dic3—51no—
335C22×Dic3—51no—
336C22×Dic3—52no—
337C22×Dic3—51no—
338D3×D4—1032no—
339C2×D12—104no—
340C2×D12—102no—
341C2×C4×D3—54no—
342C2×C4×D3—54no—
343C2×C4×D3—102no—
344C2×C4×D3—102no—
345C2×C4×D3—104no—
346C2×C4×D3—104no—
347C2×C4×D3—104no—
348C2×C4×D3—104no—
349C2×C4×D3—102no—
350C2×C4×D3—104no—
351C3×C4⋊C4—22no—
352C3×C22⋊C4—24no—
353C3×C22⋊C4—24no—
354#217—104no—
355#217—104no—
356(C2×D3)⋊C4—104no—
357(C2×D3)⋊C4—104no—
358(C2×D3)⋊C4—104no—
359(C2×D3)⋊C4—104no—
360C4⋊Dic3—102no—
361Dic3⋊C4—102no—
362Dic3⋊C4—102no—
363C23×C5—22no—
364C23×C5—22no—
365C23×C5—22no—
366C23×C5—22no—
367C23×C5—22no—
368C23×C5—22no—
369C23×C5D3×D414yes—
370C23×C5C23×D311yescharacteristic
371C22×D5—32no—
372C22×D5—32no—
373C22×D5—34no—
374C22×D5—32no—
375C22×D5—34no—
376C22×D5—34no—
377C22×D5—616no—
378C22×D5—616no—
379C22×D5—616no—
380C22×D5—62no—
381C22×D5—62no—
382C22×D5—62no—
383C22×D5—62no—
384C22×D5—62no—
385C22×D5—62no—
386C22×D5—128no—
387C22×D5—128no—
388C22×D5—128no—
389C22×D5—128no—
390C5×D4—28no—
391C2×C4×C5—21no—
392C2×C4×C5—22no—
393C2×C4×C5—21no—
394C2×C4×C5—21no—
395C2×C4×C5—22no—
396C2×C4×C5—22no—
397C2×C4×C5—22no—
398C2×C4×C5—22no—
399C2×C4×C5D3×D412yes—
400C2×C4×C5D3×D412yescomplemented
401C22⋊D5—616no—
402C2×Dic5—32no—
403C2×Dic5—32no—
404C2×Dic5—61no—
405C2×Dic5—62no—
406C2×Dic5—61no—
407C2×Dic5—61no—
408C2×Dic5—62no—
409C2×Dic5—62no—
410C2×Dic5—62no—
411C2×Dic5—62no—
412D20—68no—
413C4×D5—68no—
414C4×D5—68no—
415C4×D5—124no—
416C4×D5—128no—
417C25—152no—
418C22×D4—152no—
419C22×D4—151no—
420C22×D4—304no—
421C22×D4—308no—
422C22×D4C2×D1511yescharacteristic
423C23×C4—151no—
424C23×C4—151no—
425C23×C4—151no—
426C23×C4—152no—
427C2×C4⋊C4—151no—
428C2×C4⋊C4—151no—
429C2×C4⋊C4—151no—
430C2×C4⋊C4—304no—
431C2×C4⋊C4C2×D1511yescharacteristic, complemented
432C2×C22⋊C4—152no—
433C2×C22⋊C4—152no—
434C2×C22⋊C4—152no—
435C2×C22⋊C4—152no—
436C2×C22⋊C4—152no—
437C2×C22⋊C4—152no—
438C2×C22⋊C4—308no—
439C2×C22⋊C4—308no—
440C2×C22⋊C4C2×D1512yescomplemented
441C2×C22⋊C4C2×D1512yescomplemented
442#95—152no—
443#95—151no—
444#95C2×D1511yescharacteristic, complemented
445C2×C3×C5—44no—
446C2×C3×C5C2×#12011yescharacteristic
447C2×C3×C5C2×#12111yescharacteristic
448C2×C3×C5C2×#12112yes—
449C2×C3×C5C2×#12312yes—
450C2×C3×C5C2×#12411yescharacteristic
451D15—44no—
452D15#39418yesdirect product factor
453C23×C3—22no—
454C23×C3—22no—
455C23×C3—22no—
456C23×C3—22no—
457C23×C3—22no—
458C23×C3—22no—
459C23×C3D4×D514yes—
460C23×C3C23×D511yescharacteristic
461C22×D3—52no—
462C22×D3—52no—
463C22×D3—54no—
464C22×D3—52no—
465C22×D3—54no—
466C22×D3—54no—
467C22×D3—1016no—
468C22×D3—1016no—
469C22×D3—1016no—
470C22×D3—102no—
471C22×D3—102no—
472C22×D3—102no—
473C22×D3—102no—
474C22×D3—102no—
475C22×D3—102no—
476C22×D3—208no—
477C22×D3—208no—
478C22×D3—208no—
479C22×D3—208no—
480C3×D4—28no—
481C2×C3×C4—21no—
482C2×C3×C4—22no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—22no—
486C2×C3×C4—22no—
487C2×C3×C4—22no—
488C2×C3×C4—22no—
489C2×C3×C4D4×D512yes—
490C2×C3×C4D4×D512yescomplemented
491#67—1016no—
492C2×Dic3—52no—
493C2×Dic3—52no—
494C2×Dic3—101no—
495C2×Dic3—102no—
496C2×Dic3—101no—
497C2×Dic3—101no—
498C2×Dic3—102no—
499C2×Dic3—102no—
500C2×Dic3—102no—
501C2×Dic3—102no—
502D12—108no—
503C4×D3—108no—
504C4×D3—108no—
505C4×D3—204no—
506C4×D3—208no—
507C22×C5—24no—
508C22×C5—24no—
509C22×C5—24no—
510C22×C5—42no—
511C22×C5—42no—
512C22×C5—42no—
513C22×C5—42no—
514C22×C5C2×D3×D412yes—
515C22×C5C2×D3×D411yescharacteristic
516C22×C5C2×D3×D411yescharacteristic
517C22×C5D3×#4111yescharacteristic
518C22×C5D3×#4112yes—
519C2×D5—38no—
520C2×D5—34no—
521C2×D5—34no—
522C2×D5—34no—
523C2×D5—38no—
524C2×D5—64no—
525C2×D5—64no—
526C2×D5—64no—
527C2×D5—1232no—
528C2×D5—122no—
529C2×D5—122no—
530C2×D5—122no—
531C2×D5—122no—
532C4×C5—22no—
533C4×C5—22no—
534C4×C5—41no—
535C4×C5—42no—
536Dic5—62no—
537Dic5—62no—
538Dic5—121no—
539Dic5—122no—
540C24—151no—
541C24—158no—
542C24—152no—
543C24—304no—
544C24—304no—
545C24—304no—
546C24—304no—
547C24—304no—
548C24—304no—
549C24C22×D1512yes—
550C2×D4—24no—
551C2×D4—22no—
552C2×D4—304no—
553C2×D4—304no—
554C2×D4—3032no—
555C2×D4—304no—
556C2×D4—304no—
557C2×D4—302no—
558C22×C4—151no—
559C22×C4—151no—
560C22×C4—154no—
561C22×C4—154no—
562C22×C4—152no—
563C22×C4—151no—
564C22×C4—302no—
565C22×C4—304no—
566C22×C4—302no—
567C22×C4—304no—
568C22×C4—304no—
569C22×C4—304no—
570C22×C4—302no—
571C22×C4—304no—
572C22×C4C22×D1512yes—
573C22×C4C22×D1511yescharacteristic
574C22×C4C22×D1511yescharacteristic
575C22×C4C22×D1511yescharacteristic
576C4⋊C4—22no—
577C4⋊C4—302no—
578C4⋊C4—302no—
579C4⋊C4—302no—
580C22⋊C4—24no—
581C22⋊C4—24no—
582C22⋊C4—304no—
583C22⋊C4—304no—
584C22⋊C4—304no—
585C22⋊C4—304no—
586C22⋊C4—304no—
587C22⋊C4—304no—
588C3×C5C2×#39411yescharacteristic, complemented, Hall
589C22×C3—24no—
590C22×C3—24no—
591C22×C3—24no—
592C22×C3—42no—
593C22×C3—42no—
594C22×C3—42no—
595C22×C3—42no—
596C22×C3C2×D4×D512yes—
597C22×C3C2×D4×D511yescharacteristic
598C22×C3C2×D4×D511yescharacteristic
599C22×C3D5×#4111yescharacteristic
600C22×C3D5×#4112yes—
601C2×D3—54no—
602C2×D3—54no—
603C2×D3—58no—
604C2×D3—58no—
605C2×D3—54no—
606C2×D3—104no—
607C2×D3—104no—
608C2×D3—104no—
609C2×D3—2032no—
610C2×D3—202no—
611C2×D3—202no—
612C2×D3—202no—
613C2×D3—202no—
614C3×C4—22no—
615C3×C4—22no—
616C3×C4—41no—
617C3×C4—42no—
618Dic3—102no—
619Dic3—102no—
620Dic3—201no—
621Dic3—202no—
622C2×C5—44no—
623C2×C5D3×#12011yescharacteristic
624C2×C5D3×#12111yescharacteristic
625C2×C5D3×#12112yes—
626C2×C5D3×#12312yes—
627C2×C5D3×#12411yescharacteristic
628D5—38no—
629D5—124no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—22no—
634C23—22no—
635C23—22no—
636C23—152no—
637C23—152no—
638C23—154no—
639C23—152no—
640C23—154no—
641C23—154no—
642C23—3016no—
643C23—3016no—
644C23—3016no—
645C23—302no—
646C23—302no—
647C23—302no—
648C23—302no—
649C23—302no—
650C23—302no—
651C23—608no—
652C23—608no—
653C23—608no—
654C23—608no—
655C23D4×D1514yes—
656C23C23×D1511yescharacteristic
657D4—28no—
658D4—308no—
659D4—3016no—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—152no—
669C2×C4—152no—
670C2×C4—308no—
671C2×C4—308no—
672C2×C4—301no—
673C2×C4—302no—
674C2×C4—301no—
675C2×C4—302no—
676C2×C4—302no—
677C2×C4—302no—
678C2×C4—301no—
679C2×C4—302no—
680C2×C4—604no—
681C2×C4—608no—
682C2×C4D4×D1512yes—
683C2×C4D4×D1512yescomplemented
684C2×C3—44no—
685C2×C3D5×#12011yescharacteristic
686C2×C3D5×#12111yescharacteristic
687C2×C3D5×#12112yes—
688C2×C3D5×#12312yes—
689C2×C3D5×#12411yescharacteristic
690D3—58no—
691D3—204no—
692C5D3×#39411yescharacteristic, complemented, Sylow
693C22—24no—
694C22—24no—
695C22—24no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—154no—
701C22—154no—
702C22—158no—
703C22—158no—
704C22—154no—
705C22—304no—
706C22—304no—
707C22—304no—
708C22—6032no—
709C22—602no—
710C22—602no—
711C22—602no—
712C22—602no—
713C22C2×D4×D1512yes—
714C22C2×D4×D1511yescharacteristic
715C22C2×D4×D1511yescharacteristic
716C22#41×D1511yescharacteristic
717C22#41×D1512yes—
718C4—22no—
719C4—22no—
720C4—41no—
721C4—42no—
722C4—302no—
723C4—302no—
724C4—601no—
725C4—602no—
726C3D5×#39411yescharacteristic, complemented, Sylow
727C2—44no—
728C2—158no—
729C2—604no—
730C2D15×#12011yescharacteristic
731C2D15×#12111yescharacteristic
732C2D15×#12112yes—
733C2D15×#12312yes—
734C2D15×#12411yescharacteristic
subgroupG/H
center, FrattiniC23C23×D15
commutator, socle, cosocleC23×C3×C5C24
FittingC3×C5×#394C2
prime radicalC22×D4×D15C2
hypercenter#394D15
hypocenterC3×C5C2×#394
LCSG ▷ C23×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ #394

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×C4⋊C4×D15C2semidirect
3. C2×C22⋊C4×D15C2semidirect
4. C2×C22⋊C4×D15C2semidirect
5. C3×C5×#394C2semidirect
6. #11751323C2semidirect
7. #11751092C2semidirect
8. #11751062C2semidirect
9. #11751060C2semidirect
10. #11750773C2semidirect
11. D15×#95C2semidirect
23. C2×C3×C5×C4⋊C4C22semidirect
24. C2×C3×C5×C22⋊C4C22semidirect
25. C2×C3×C5×C22⋊C4C22semidirect
26. C2×#6719C22semidirect
27. C2×#6719C22semidirect
28. C2×#6714C22semidirect
29. C2×#6714C22semidirect
30. C2×#6714C22semidirect
31. C2×#6714C22semidirect
32. C2×C4⋊Dic15C22semidirect
33. C2×#6712C22semidirect
34. C2×#6712C22semidirect
38. C3×C5×#95C22semidirect
39. #91115C22semidirect
40. #91115C22semidirect
46. C5×#394D3semidirect
88. C2×C4×D15D4semidirect
105. C3×#394D5semidirect
122. C2×C5×C4⋊C4C2×D3semidirect
123. C2×C5×C22⋊C4C2×D3semidirect
124. C2×C5×C22⋊C4C2×D3semidirect
137. C5×#95C2×D3semidirect
178. C2×C3×C4×C5C2×D4semidirect
189. C2×Dic15C2×D4semidirect
205. C2×C3×C4⋊C4C2×D5semidirect
206. C2×C3×C22⋊C4C2×D5semidirect
207. C2×C3×C22⋊C4C2×D5semidirect
220. C3×#95C2×D5semidirect
280. #394D15direct (N × H)
400. C2×C4×C5D3×D4semidirect
431. C2×C4⋊C4C2×D15semidirect
440. C2×C22⋊C4C2×D15semidirect
441. C2×C22⋊C4C2×D15semidirect
444. #95C2×D15semidirect
452. D15#394direct (N × H)
490. C2×C3×C4D4×D5semidirect
588. C3×C5C2×#394semidirect
683. C2×C4D4×D15semidirect
692. C5D3×#394semidirect
726. C3D5×#394semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C22×D4×D152
C2×C4⋊C4×D152
C2×C22⋊C4×D152
C3×C5×#3942
#117513232
#117510922
#117510622
#117510602
#117507732
D15×#952
D5×#3943
D3×#3945